What is the answer to 3-log_{2}(5x-2)=0 ?

The answer to 3-log_{2}(5x-2)=0 is x=2

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3-log_{2}(5x-2)=0

3 - lo g_{2} (5 x - 2) = 0

x = 2

Solution steps

3 - lo g_{2} (5 x - 2) = 0

Move

3

to the right side

- lo g_{2} (5 x - 2) = - 3

Divide both sides by

- 1

lo g_{2} (5 x - 2) = 3

Apply log rules

5 x - 2 = 8

Solve

5 x - 2 = 8 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{11} (x) = 2

ln (x (x - 2)) = 0

lo g_{5} (x^{2} - 2 x - 10) = 2

a, - 4 = 2 b + 2 lo g_{a} (2)

lo g_{3} (x - 3) = 4

What is the answer to 3-log_{2}(5x-2)=0 ?
The answer to 3-log_{2}(5x-2)=0 is x=2
Solve for x: 3-log_{2}(5x-2)=0
The solution is x=2